Concentration of Product B in Set of Three Parallel Reactions Formula

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Concentration of Reactant B is defined as the amount of substance B present after reacting for a given interval of time t. Check FAQs
Rb=k1k1+k2+k3A0(1-exp(-(k1+k2+k3)t))
Rb - Concentration of Reactant B?k1 - Reaction Rate Constant 1?k2 - Reaction Rate Constant 2?k3 - Rate Constant of Reaction 3?A0 - Initial Concentration of Reactant A?t - Time?

Concentration of Product B in Set of Three Parallel Reactions Example

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Here is how the Concentration of Product B in Set of Three Parallel Reactions equation looks like with Values.

Here is how the Concentration of Product B in Set of Three Parallel Reactions equation looks like with Units.

Here is how the Concentration of Product B in Set of Three Parallel Reactions equation looks like.

1.6332Edit=5.7E-6Edit5.7E-6Edit+8.9E-5Edit+3.5E-5Edit100Edit(1-exp(-(5.7E-6Edit+8.9E-5Edit+3.5E-5Edit)3600Edit))
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Concentration of Product B in Set of Three Parallel Reactions Solution

Follow our step by step solution on how to calculate Concentration of Product B in Set of Three Parallel Reactions?

FIRST Step Consider the formula
Rb=k1k1+k2+k3A0(1-exp(-(k1+k2+k3)t))
Next Step Substitute values of Variables
Rb=5.7E-6s⁻¹5.7E-6s⁻¹+8.9E-5s⁻¹+3.5E-5s⁻¹100mol/L(1-exp(-(5.7E-6s⁻¹+8.9E-5s⁻¹+3.5E-5s⁻¹)3600s))
Next Step Convert Units
Rb=5.7E-6s⁻¹5.7E-6s⁻¹+8.9E-5s⁻¹+3.5E-5s⁻¹100000mol/m³(1-exp(-(5.7E-6s⁻¹+8.9E-5s⁻¹+3.5E-5s⁻¹)3600s))
Next Step Prepare to Evaluate
Rb=5.7E-65.7E-6+8.9E-5+3.5E-5100000(1-exp(-(5.7E-6+8.9E-5+3.5E-5)3600))
Next Step Evaluate
Rb=1633.17157744457mol/m³
Next Step Convert to Output's Unit
Rb=1.63317157744457mol/L
LAST Step Rounding Answer
Rb=1.6332mol/L

Concentration of Product B in Set of Three Parallel Reactions Formula Elements

Variables
Functions
Concentration of Reactant B
Concentration of Reactant B is defined as the amount of substance B present after reacting for a given interval of time t.
Symbol: Rb
Measurement: Molar ConcentrationUnit: mol/L
Note: Value can be positive or negative.
Reaction Rate Constant 1
Reaction Rate Constant 1 is defined as proportionality constant relating to the rate of the chemical reaction to the conc. of reactant or product in reaction 1.
Symbol: k1
Measurement: First Order Reaction Rate ConstantUnit: s⁻¹
Note: Value should be greater than -1.
Reaction Rate Constant 2
Reaction Rate Constant 2 is the proportionality constant relating to the rate of the chemical reaction to the conc. of the reactant or product in chemical reaction 2.
Symbol: k2
Measurement: First Order Reaction Rate ConstantUnit: s⁻¹
Note: Value should be greater than -1.
Rate Constant of Reaction 3
Rate Constant of reaction 3 is the proportionality constant relating to the rate of the chemical reaction to the conc. of reactant or product in chemical reaction 3.
Symbol: k3
Measurement: First Order Reaction Rate ConstantUnit: s⁻¹
Note: Value should be greater than 0.
Initial Concentration of Reactant A
Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.
Symbol: A0
Measurement: Molar ConcentrationUnit: mol/L
Note: Value should be greater than 0.
Time
Time is used to defined as the period of time that is required for the reactant to given a certain amount of product in a chemical reaction.
Symbol: t
Measurement: TimeUnit: s
Note: Value should be greater than -1.
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other formulas in Kinetics for Set of Three Parallel Reactions category

​Go Time taken for Set of Three Parallel Reactions
t=1k1+k2+k3ln(A0RA)
​Go Rate Constant for Reaction A to B for Set of Three Parallel Reactions
k1=1tln(A0RA)-(k2+k3)
​Go Rate Constant for Reaction A to C for Set of Three Parallel Reactions
k2=1tln(A0RA)-(k1+k3)
​Go Rate Constant for Reaction A to D for Set of Three Parallel Reactions
k3=1tln(A0RA)-(k1+k2)

How to Evaluate Concentration of Product B in Set of Three Parallel Reactions?

Concentration of Product B in Set of Three Parallel Reactions evaluator uses Concentration of Reactant B = Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A*(1-exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time)) to evaluate the Concentration of Reactant B, The Concentration of Product B in Set of Three Parallel Reactions formula is defined as the amount of product B formed at time t. Concentration of Reactant B is denoted by Rb symbol.

How to evaluate Concentration of Product B in Set of Three Parallel Reactions using this online evaluator? To use this online evaluator for Concentration of Product B in Set of Three Parallel Reactions, enter Reaction Rate Constant 1 (k1), Reaction Rate Constant 2 (k2), Rate Constant of Reaction 3 (k3), Initial Concentration of Reactant A (A0) & Time (t) and hit the calculate button.

FAQs on Concentration of Product B in Set of Three Parallel Reactions

What is the formula to find Concentration of Product B in Set of Three Parallel Reactions?
The formula of Concentration of Product B in Set of Three Parallel Reactions is expressed as Concentration of Reactant B = Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A*(1-exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time)). Here is an example- 0.001633 = 5.67E-06/(5.67E-06+8.87E-05+3.45E-05)*100000*(1-exp(-(5.67E-06+8.87E-05+3.45E-05)*3600)).
How to calculate Concentration of Product B in Set of Three Parallel Reactions?
With Reaction Rate Constant 1 (k1), Reaction Rate Constant 2 (k2), Rate Constant of Reaction 3 (k3), Initial Concentration of Reactant A (A0) & Time (t) we can find Concentration of Product B in Set of Three Parallel Reactions using the formula - Concentration of Reactant B = Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A*(1-exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time)). This formula also uses Exponential Growth (exp) function(s).
Can the Concentration of Product B in Set of Three Parallel Reactions be negative?
Yes, the Concentration of Product B in Set of Three Parallel Reactions, measured in Molar Concentration can be negative.
Which unit is used to measure Concentration of Product B in Set of Three Parallel Reactions?
Concentration of Product B in Set of Three Parallel Reactions is usually measured using the Mole per Liter[mol/L] for Molar Concentration. Mole per Cubic Meter[mol/L], Mole per Cubic Millimeter[mol/L], Kilomole per Cubic Meter[mol/L] are the few other units in which Concentration of Product B in Set of Three Parallel Reactions can be measured.
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